Question:medium
If
\[
\sin\left(\frac{\pi}{18}\right)\sin\left(\frac{5\pi}{18}\right)\sin\left(\frac{7\pi}{18}\right)=K,
\]
then the value of
\[
\sin\left(\frac{10K\pi}{3}\right)
\]
is:
If
\[
\sin\left(\frac{\pi}{18}\right)\sin\left(\frac{5\pi}{18}\right)\sin\left(\frac{7\pi}{18}\right)=K,
\]
then the value of
\[
\sin\left(\frac{10K\pi}{3}\right)
\]
is:
Updated On: Apr 10, 2026
- \( \dfrac{\sqrt3+1}{2\sqrt2} \)
- \( \dfrac{\sqrt3-1}{\sqrt2} \)
- \( \dfrac{\sqrt3}{2} \)
- \( \dfrac{1}{2} \)
Show Solution
The Correct Option is D
Solution and Explanation
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